The product of emirps 2701 = 37 * 73 is the smallest number
n which divides the average of the nth prime (24317), its
predecessor prime, and its successor prime. (24281 + 24317
+ 24329)/3 = 24309 = 3^2 * 37 * 73. Alternate wording: 2701
is the smallest number n which divides the average of the
nth prime and the two primes surrounding it. [Post]

(There is one curio for this number that has not yet been approved by an editor.)